Unit 3 Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean for an equation to show proportionality?

Back

An equation shows proportionality if it can be expressed in the form y = kx, where k is a constant.

Front

Is the equation y = 14x proportional?

Back

Yes, because it can be expressed in the form y = kx with k = 14.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is linear and passes through the origin (0,0).

Front

What is the constant of proportionality in the equation y = ½x?

Back

The constant of proportionality is 1/2.

Front

If you travel 150 miles on 5 gallons, how far do you travel per gallon?

Back

30 miles per gallon.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

If a sloth moves 30 feet in 10 minutes, how far can it move in 5 minutes?

Back

15 feet.

Front

What is the relationship between the slope of a line and proportionality?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.